Warm Up 03.19.13 Week 1 1) 2( x + 4 ) 2x 2 = 50 2x + 8 x = ±5 2)

Slides:

Advertisements

Similar presentations

Chapter 6 Polynomials.

Advertisements

Chapter 5 Section 5 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Preview Warm Up California Standards Lesson Presentation.

Warm-up: Simplify. 1.6 (3x - 5) = 18x (2x + 10) = 8x y - 3y = 6y 4.7a + 4b + 3a - 2b = 10a + 2b 5.4 (3x + 2) + 2 (x + 3) = 14x + 14.

4.5 Multiplying Polynomials

1 Section 1.8 Multiplication of Algebraic Expressions.

Monomials and Polynomials

DISTRIBUTIVE PROPERTY AND POWER PROPERTIES You Control the Power!

Drill #17 Simplify each expression.. Drill #18 Simplify each expression.

GOAL: MULTIPLY TWO POLYNOMIALS TOGETHER USING THE DISTRIBUTIVE PROPERTY ELIGIBLE CONTENT: A Multiplying Polynomials.

 We use the acronym below to multiply two binomials. F – O – I – L – FIRST OUTSIDE INSIDE LAST.

Chapter 5 Section 5. Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives 1 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson.

Degree The largest exponent Standard Form Descending order according to exponents.

Homework Section 9.1: 1) pg , 19-27, ) WB pg 47 all Section 9.2: 1) pg all 2) WB pg 48 all 3) Worksheet Section 9.3: 1) pg 441.

Solve x 2 + bx + c = 0 by factoring Section 4.3. What is a trinomial????? It has 3 terms connected by addition or subtraction Example : 3x 2 – 6x + 7.

Multiplying Polynomials *You must know how to multiply before you can factor!”

Aim: How do we multiply polynomials? Do Now: Multiply the following 1. 2x(3x + 1) 2. (x – 1)(x + 2) 3. (x +2)(x 2 – 3x + 1)

Multiplying Polynomials Module VII, Lesson 3 Online Algebra

Multiplying Polynomials MATH 017 Intermediate Algebra S. Rook.

2.2 Warm Up Find the sum or difference. 1. (2x – 3 + 8x²) + (5x + 3 – 8x²) 2. (x³ - 5x² - 4x) – (4x³ - 3x² + 2x – 8) 3. (x – 4) – (5x³ - 2x² + 3x – 11)

CLASSIFYING POLYNOMIALS. A _______________ is a sum or difference of terms. Polynomials have special names based on their _______ and the number of _______.

Section 7.3 Multiply a Monomial by a Polynomial We will be learning how to multiply a monomial (one term) by a polynomial (more than one term.

Drill #29 Simplify each expression.. Drill #30 Simplify each expression.

Copyright © 2010 Pearson Education, Inc. All rights reserved. 5.3 – Slide 1.

Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 5.3 Slide 1 Exponents and Polynomials 5.

1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n)

DISTRIBUTIVE PROPERTY. When no addition or subtraction sign separates a constant or variable next to a parentheses, it implies multiplication.

Multiplying Polynomials Use the distributive property, and remember your properties for exponents. 5x (4x 2 + 3x) = 20x x 2 Section 10.2.

5.11 Multiplying Polynomials Goal: Multiply any two polynomials.

Multiplying Polynomials Section Multiplying Monomials To multiply two monomials use the associative and commutative properties and regroup. Remember.

Multiplying Binomials each each otherTo multiply two Binomials – each term in each binomial needs to be multiplied by each other. FOIL helps you keep.

+ FOIL – Multiplying Polynomials. + Warm – Up!! Good Morning! Please pick up your calculator as you walk in! Use the BOX method to multiply the following.

Quadratic Relations Polynomials Day 2: Multiplying Binomials.

Section 5.4 Factoring Quadratic Expressions Obj: to find common and binomial factors of quadratic expressions.

Multiplying Polynomials Thursday, September 12, 2013.

1.(-7) (-2) 2.(3)(-6) 3.(4)(5) 4.(-3) (4t) 5.(2)(-2x) 6.(7y)(3) 7.3(s+5) 8.4(-n+2) 9.4-(t+2) 10.3n+(2-n) Algebra S9 Day 21.

Lesson 10.2 Multiplying Polynomials Objective: To multiply polynomials Multiply monomials by other polynomials by using distributive property Examples.

POLYNOMIALS – Monomial Times a Polynomial

AIM: How do we multiply and divide polynomials?

Objective - To multiply polynomials.

Adding and Subtracting Polynomials

Multiplication of monomial and binomials.

8-2 Multiplying Polynomials

Aim: What are the product and power rules of exponents?

Dividing Polynomials.

7.8 Multiplying Polynomials

8.6 Multiplying a Polynomial by a Monomial

Objective Factor polynomials by using the greatest common factor.

Multiplying Polynomials

Exponents, Polynomials, and Polynomial Functions

Chapter 5: Introduction to Polynomials and Polynomial Functions

13 Exponents and Polynomials.

Multiplying Binomials

Multiply polynomials When multiplying powers with the same base, keep the base and add the exponents. x2  x3 = x2+3 = x5 Example 1: Multiplying Monomials.

5.11 Multiplying Polynomials

Warm Up You have 15 minutes in your groups to completes as many of the zeros/end behavior examples from yesterday. Don’t waste time! 

Math 9 Honours Section 4.1 Multiplying & Dividing Polynomials

Exponents and Polynomials

Warm-Up Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)

Warm-Up 5 minutes Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)

Day 2 Multiplying Linear Expressions Monomials by binomials And

Multiplication of Polynomials

Dividing Polynomials.

Unit 1 Section 3B: MULTIPLYING POLYNOMIALS

Factoring Polynomials.

Warm Up Rewrite 4x – 2x4 + 5x3 – 2 in standard form. Then, name by degree & number of terms. Name 150 by degree & number of terms. Simplify.

(2)(4) + (2)(5) + (3)(4) + (3)(5) =

Ch Part 1 Multiplying Polynomials

Warm-Up 5 minutes Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)

Presentation transcript:

Warm Up Week 1 1) 2( x + 4 ) 2x 2 = 50 2x + 8 x = ±5 2)

Re 1 ( 4r 2 – 6r + 7 ) - ( r – 7r 2 – 1 ) r+ 11r 2 r - 6r r 2 4r 2 11r 2 – 7r + 8Answer

I will multiply polynomial expressions. Section 10.2 Day 1 Binomial TwoNumbers Binomial 7x - 9 Monomial OneNumber 8x

Rule 1 Distribute factors on outside of parentheses to all terms on the inside. Ex 1 8x( 7x - 9 ) - 72x56x 2

Ex 2 4x 2 ( 7x 3 – 5x + 6 ) + 24x x 3 28x 5 Rule 2 Add exponents when multiplying similar bases. 1 x0x0

Rule 3 First = Outside = Inside = Last = Ex 3 ( x + 5 ) ( x + 3 ) x 2 x 2 + 8x x + 5x + 15 Multiply terms using FOIL +x 2 +3x +5x +15

Ex 4 ( 2x - 9 ) ( 6x + 7 ) 12x 2 12x x x - 54x - 63

Ex 5( 7r - 5 ) ( 4r - 3 ) 28r 2 28r r r - 20r + 15

Review FOIL means ____, ____, ____, ____. AssignmentHandout – Section 10.2 Day 1 ( 4x - 3 ) ( 5x + 4 ) Check 1: